Geodesic
An eigenfunction manifold generated by a~family of periodic boundary value problems
Sbornik. Mathematics, Tome 212 (2021) no. 9, pp. 1208-1227

Voir la notice de l'article provenant de la source Math-Net.Ru

An analytic and topological description is given of the manifold of periodic eigenfunctions generated by the space of one-dimensional stationary Schrödinger equations with periodic real potentials. Connections with results due to Neuman, Ince and Uhlenbeck are discussed. Bibliography: 11 titles.
Keywords: space of periodic boundary-value problems, fibration of the eigenfunction manifold. 
@article{SM_2021_212_9_a1,
     author = {Ya. M. Dymarskii and A. A. Bondar'},
     title = {An eigenfunction manifold generated by a~family of periodic boundary value problems},
     journal = {Sbornik. Mathematics},
     pages = {1208--1227},
     publisher = {mathdoc},
     volume = {212},
     number = {9},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2021_212_9_a1/}
}
TY  - JOUR
AU  - Ya. M. Dymarskii
AU  - A. A. Bondar'
TI  - An eigenfunction manifold generated by a~family of periodic boundary value problems
JO  - Sbornik. Mathematics
PY  - 2021
SP  - 1208
EP  - 1227
VL  - 212
IS  - 9
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_2021_212_9_a1/
LA  - en
ID  - SM_2021_212_9_a1
ER  - 
%0 Journal Article
%A Ya. M. Dymarskii
%A A. A. Bondar'
%T An eigenfunction manifold generated by a~family of periodic boundary value problems
%J Sbornik. Mathematics
%D 2021
%P 1208-1227
%V 212
%N 9
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_2021_212_9_a1/
%G en
%F SM_2021_212_9_a1
Ya. M. Dymarskii; A. A. Bondar'. An eigenfunction manifold generated by a~family of periodic boundary value problems. Sbornik. Mathematics, Tome 212 (2021) no. 9, pp. 1208-1227. http://geodesic.mathdoc.fr/item/SM_2021_212_9_a1/